Maybe does have, only a small percentage who have HSV-2 ever have recurring breakouts. That does not mean they can't transmit it.
https://www.hims.com/blog/is-asymptomatic-herpes-a-thing
Also, most of the world has HSV-1, better know as fever blisters or cold sores. There are other Herpes variants, some we get as kids, mild fever, goes away and does not recur.
There are 9 HSV variants.